Make the Hunan sauce by whisking together the chicken broth, soy sauce, fish sauce, white vinegar, brown sugar, chili paste, and cornstarch. Set aside.
In a bowl, add the chopped chicken and almond flour. Lightly mix together.
Heat the oil in a non-stick pan or wok over medium heat. Stir fry the chicken until mostly cooked, about 5 minutes. Remove the chicken from the pan.
Add the sesame oil to the pan. When hot, add the minced garlic and ginger and stir fry for several minutes.
Add the remaining vegetables and cook until mostly tender, about 3 minutes.
Add the chicken back to the pan, then add the Hunan sauce. Let it bubble and thicken for several minutes before removing from the heat.